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What must the side lengths of two dimensional polygonal figures be if the figures are similar?
The side lengths of corresponding sides must all be in the same proportion to each other. So, for example, if you have a quadrilateral ABCD and you want to prove that it is similar to WXYZ, then you must show that all the side ratios are equal to each other. That is: AB/WX = BC/XY = CD/YZ = DA/ZW
What is important about the angles of similar figures?
when it comes to similar figures or angles you must know that they are the same shape but not the same size.
Can congruent figures also be similar?
They must be similar, with scale factor = 1.
What must be true of the corresponding angles in two similar figures?
koe
What are the two criteria that figures must meet in order to be classified as similar?
x times xb thats the answer
For two-dimensional polygonal figures to be similar their side lengths must be?
Corresponding
What must the side lengths of two dimensional polygonal figures be if the figures are similar?
The side lengths of corresponding sides must all be in the same proportion to each other. So, for example, if you have a quadrilateral ABCD and you want to prove that it is similar to WXYZ, then you must show that all the side ratios are equal to each other. That is: AB/WX = BC/XY = CD/YZ = DA/ZW
What is important about the angles of similar figures?
when it comes to similar figures or angles you must know that they are the same shape but not the same size.
Can congruent figures also be similar?
They must be similar, with scale factor = 1.
If two figures are similar then are they also congruent?
No. Two figures are similar if they have same shape, and all the angles are equal; but they can have the sides of different sizes. I mean, similar figures may have different sizes, but must have the same shape.
What must be true of the corresponding angles in two similar figures?
koe
What is the relationship between corresponding angles of similar figures?
They must be the same.
What are the two criteria that figures must meet in order to be classified as similar?
x times xb thats the answer
Why do corresponding angles of similar figures have to be congruent?
Corresponding angles of similar figures are congruent because similarity in geometry implies that the shapes have the same shape but may differ in size. When two figures are similar, their corresponding sides are in proportion, which leads to their angles being equal. This relationship ensures that the angles maintain their measures regardless of the scale of the figures, thus confirming that corresponding angles must be congruent.
What types of rules produce similar figures?
the number before x and y must be the same ex. (2x,2y) (.5x,.5y)
What are the 3 requirements to be similar figures?
The three requirements to be similar figures are: Corresponding angles must be congruent (equal in measure). Corresponding sides are in proportion; this means that the ratio of corresponding side lengths is the same for all sides. The figures have the same shape, but can be of different sizes.
How many vertices edges faces does a polyhedra have?
A polyhedron is a generic term for 3 dimensional objects which are bounded by polygonal faces. They can have 4 or more vertices, 6 or more edges and 4 or more faces. The numbers of vertices (V), edges (E) and faces (F) must also satisfy the Euler characteristic: F + V = E + 2.
